Find the LCM of 4^{5}, 4^{-81}, 4¹2} and 4^{7}

Correct Answer is : 4124¹2}412

Correct Answer is : 4124¹2}412

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AP TET Paper 1 Model Test 2

Question : 94 of 150

Marks: +1, -0

Find the LCM of 4^{5}, 4^{-81}, 4^{12} and 4^{7}

Solution:

Concept:

LCM of numbers with the same base is the base raised to the highest exponent among them.

Explanation:

All terms are powers of 4:

4^{5}

4^{-81}

4^{12}

4^{7}

To find the LCM, compare the exponents.

The largest exponent is

12

(since

12 > 7 > 5 > -81

The LCM takes the base with the greatest power.

Thus, LCM =

4^{12}

Answer:

4^{12}

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